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@nhmc
Created February 11, 2016 02:22
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A mortgage repayment calculator written in Python using a Jupyter notebook
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{
"cells": [
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"from __future__ import print_function, division\n",
"\n",
"# Calculate mortgage payments and mortgage costs\n",
"\n",
"\n",
"def calc_monthly_payment(P, nyear, rate_year_perc):\n",
" \"\"\" Find the monthly payments for a loan.\n",
" \n",
" Parameters\n",
" ----------\n",
" P : float\n",
" The loan amount (principle).\n",
" nyear : float\n",
" Length of the loan in years\n",
" rate_year_perc : float\n",
" The yearly interest rate as a percentage (e.g. 5 if 5%).\n",
" \n",
" \"\"\"\n",
" rate_month = rate_year_perc / 100. / 12.\n",
" nmonth = nyear * 12.\n",
" term = (1 + rate_month)**nmonth\n",
" return P * rate_month * term / (term - 1)\n",
"\n",
"\n",
"def calc_amort(P, rate_year_perc, mp, \n",
" offset, offset_start_year=0, offset_end_year=None):\n",
" \"\"\"\n",
" Calculate monthly amortizations, with and without an offset.\n",
" \n",
" Parameters\n",
" ----------\n",
" P : float\n",
" Principle (the amount you borrow) in $\n",
" rate_year_perc : float\n",
" Yearly interest rate (percent)\n",
" mp : float\n",
" Monthly payment in $\n",
" offset : float \n",
" Amount in the offset account in $\n",
" offset_start_year : float (0) \n",
" The year the offset amount starts\n",
" offset_end_year : float (None)\n",
" The year the offset amount ends\n",
" \n",
" Returns\n",
" -------\n",
" M : dict\n",
" \"\"\"\n",
" M = {}\n",
" M['rate_year_perc'] = rate_year_perc\n",
" M['rate_year'] = rate_year_perc / 100.\n",
" M['rate_month'] = M['rate_year'] / 12.\n",
" M['P'] = [P]\n",
" M['P_off'] = [P]\n",
" start_off = offset_start_year * 12\n",
" if offset_end_year is None:\n",
" end_off = 1e99\n",
" else:\n",
" end_off = offset_end_year * 12\n",
" # the number of months for the loan to be paid off with an offset. \n",
" nmonth_offset = 0\n",
" n = 0\n",
" r = M['rate_month']\n",
" paid = 0\n",
" paidoff = 0\n",
" while M['P'][-1] > 0: \n",
" dP = mp - M['P'][-1] * r\n",
" payment = (mp if M['P'][-1] - dP > 0 else M['P'][-1])\n",
" paid += payment\n",
" M['P'].append(M['P'][-1] - dP)\n",
" if M['P_off'][-1] > 0:\n",
" if start_off < n < end_off:\n",
" dPoff = mp - (M['P_off'][-1] - offset) * r\n",
" nmonth_offset += 1\n",
" else:\n",
" dPoff = mp - M['P_off'][-1] * r\n",
" p = M['P_off'][-1] - dPoff\n",
" if p < 0:\n",
" p = 0\n",
" M['P_off'].append(p)\n",
" payment = (mp if M['P_off'][-1] - dPoff > 0 else M['P_off'][-1])\n",
" paidoff += payment\n",
" \n",
" n += 1\n",
" if n > 1e6:\n",
" s = 'Too many iterations!'\n",
" raise RuntimeError(s)\n",
"\n",
" M['nmonth'] = n\n",
" M['nyear'] = n / 12.\n",
" M['nyear_offset'] = nmonth_offset / 12.\n",
" M['total_paid_offset'] = paidoff\n",
" M['total_paid'] = paid\n",
" M['monthly_payment'] = mp\n",
" M['offset'] = offset\n",
" return M\n",
"\n",
"\n",
"import numpy as np\n",
"%pylab --no-import-all inline\n",
"\n",
"RED = '#fe8082'\n",
"BLUE = '#8083fc'\n",
"\n",
"def doplot(M, ax, max_year=None, lw=0):\n",
" years = np.arange(len(M['P'])) / 12.\n",
" years_off = np.arange(len(M['P_off'])) / 12.\n",
" ax.fill_between(years, np.array(M['P'])*1e-3, color=RED, label='no offset', \n",
" lw=lw)\n",
" if M['offset'] > 0:\n",
" ax.fill_between(years_off, np.array(M['P_off'])*1e-3, color=BLUE, \n",
" lw=lw, label='${:,g} offset'.format(M['offset']))\n",
" ax.set_ylim(0, M['P'][0]*1e-3)\n",
" ax.set_xlim(0, years[-1])\n",
" ax.set_xlabel('Time (years)')\n",
" ax.set_ylabel('Outstanding amount ($K)')\n",
" ax.legend(frameon=0, loc=0)\n",
" \n",
" # the return on investing at an interest rate of 'rate_year', to compare how much \n",
" # you would gain putting the amount in a normal bank account instead of the \n",
" # offset.\n",
" returns = M['offset'] * (1 + M['rate_year'])**M['nyear_offset'] - M['offset']\n",
" \n",
" s = \"Rate {:.3g}% ${:,.4g} per month\".format(M['rate_year_perc'], M['monthly_payment'])\n",
" puttext(0.03, 0.3, s, ax, ha='left', fontsize=8,fontweight='bold')\n",
" s = \"Total paid ${:,g}\".format(M['total_paid'])\n",
" puttext(0.03, 0.25, s, ax, ha='left', fontsize=8)\n",
" if M['offset'] > 0:\n",
" s = \"\"\"Total paid (offset) ${:,g}\n",
"difference at {:.3g} yr is ${:,g}\n",
"${:,g} from instead investing offset amount \n",
" at {:g}% after {:.3g} yr\n",
"\"\"\".format(M['total_paid_offset'], M['nyear_offset'],\n",
" M['total_paid'] - M['total_paid_offset'],\n",
" returns, M['rate_year_perc'], M['nyear_offset']\n",
" )\n",
" puttext(0.03, 0.02, s, ax, ha='left', fontsize=8)\n",
" \n",
" ax.minorticks_on()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# length of the loan in years\n",
"Nyear = 29\n",
"\n",
"# the yearly percentage interest rate \n",
"rate = 6 \n",
"\n",
"# the amount borrowed\n",
"principle = 300000.0\n",
"\n",
"# The amount in a 100% offset account\n",
"offset = 50000.0\n",
"\n",
"# Start end years that the offset amount is present in the account\n",
"start, end = 0, None"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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ly+CbKei7/LITrue1116jcuXKhISEsHTpUj766CPWrl2bp92YMWMYNWoUbdu2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\nwFtbtjD88k+oKoR4erJw0CDTgjprHx/J9I0b6PDpJ6R8+AHe/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OF1UpKPYVQNuLkFEhEx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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1093a8d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot two examples, one making the mininum repayment, another making a \n",
"# constant repayment of $2000 per month.\n",
"\n",
"fig = plt.figure(figsize=(8,8))\n",
"fig.clf()\n",
"ax = fig.add_subplot(221)\n",
"monthly_payment = calc_monthly_payment(principle, Nyear, rate)\n",
"M = calc_amort(principle, rate, monthly_payment, offset, \n",
" offset_start_year=start, offset_end_year=end)\n",
"doplot(M, ax)\n",
"ax = fig.add_subplot(222)\n",
"ax.set_xlim(0, Nyear)\n",
"monthly_payment = max(monthly_payment, 2000)\n",
"M = calc_amort(principle, rate, monthly_payment, offset, \n",
" offset_start_year=start, offset_end_year=end)\n",
"doplot(M, ax)\n",
"ax.set_xlim(0, Nyear)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fig.savefig('mortgage_plots.pdf', bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.4"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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